
Dilation invariance does not guarantee the existence of a trace-less EM tensor. The relativistic counterpart of this result is detailed in [1]}.

SSCT invariance implies the trace-less condition \(T^\mu _{\hspace{4.2679pt}\mu }=0\) .

In addition to that, SSCT symmetry `predicts' the Carrollian boost and the dilation invariance but the converse is not true.

